A132693 - OEIS

%I #2 Mar 30 2012 18:37:04

%S 1,1,-3,22,-250,3810,-72492,1649634,-43626510,1313526375,-44332221175,

%T 1657043432088,-67929461003560,3029864359322346,-146058681728370600,

%U 7566706624571096610,-419220650458638848514,24733868801871384287055,-1548237182318766914543100

%N Column 2 of triangle A132690.

%C Triangle T=A132690 is generated from negative powers of itself such that row n+1 of T = row n of T^(-n) with appended '1' for n>=0 with T(0,0)=1.

%o (PARI) {a(n)=local(A=Mat(1), B); for(m=1, n+3, B=matrix(m, m); for(i=1, m, for(j=1, i, if(j==i, B[i, j]=1, B[i, j]=(A^(-(i-2)))[i-1, j]); )); A=B); return( ((A)[n+3,3]))}

%Y Cf. A132690; A132691, A132692, A132694.

%K sign

%O 0,3

%A _Paul D. Hanna_, Aug 25 2007